ART

56 = 2 × 2 × 2 × 7

56 = 7 × 8 (See also 12 = 3 × 4)

56 = 1 + 2 + 3 + 4 × 5 + 6 + 7 + 8 + 9

56 = 9 + 8 + 7 + 6 + 5 × 4 + 3 + 2 + 1

56 = 0^5 − 1^7 − 2^8 − 3^9 + 4^0 + 5^6 + 6^3 + 7^2 + 8^4 + 9^1

56 = 2^2 + 4^2 + 6^2

56 = (111 + 1)/(1 + 1)
= (222 + 2)/(2 + 2)
= (333 + 3)/(3 + 3)
= 44 + 4 + 4 + 4
= 55 + 5/5
= (666 + 6)/(6 + 6):
= 7 × 7 + 7
= 8 × 8 − 8
= (999 + 9)/(9 + 9)

Number of Partitions of 11 (11 , 10 + 1 , 9 + 2 , 9 + 1 + 1 , 8 + 3 = 1, 8 + 2 + 1 , 8 + 1 + 1 + 1 , 7 + 4 , 7 + 3 + 1 , 7 + 2 + 2 , 7 + 2 + 1 + 1 , 7 + 1 + 1 + 1 + 1 , 6 + 5 = 11 , 6 + 4 + 1 , 6 + 3 + 2 , etc, etc)

Number of ways to write 19 as an ordered sum of 4 nonprime numbers.

56 = binomial(6 + 2, 3) is the 6th tetrahedral number.

Number of regions formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order 2

Numbers k such that k^4 + 1 is prime.

Numbers k such that (8*10^k + 49)/3 is prime.

Number of knapsack partitions of 16

Hadamard maximal determinant problem: largest determinant of a (real) {0,1}-matrix of order 8

e^(π sqrt(28))≈16580630.9881 is an associated near-integer.

The ring of integers of the field Q(sqrt(-56)) has class number 4

Factors: 1, 2, 4, 7, 8, 14, 28, 56

Fifty-six

Representations, Binary to Hexadecimal:

111000_2
2002_3
320_4
211_5
132_6
110_7
70_8
62_9
51_11
48_12
44_13
40_14
3b_15
38_16

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